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113381568 = 26321711579
BaseRepresentation
bin1101100001000…
…01000011000000
321220100101021100
412300201003000
5213011202233
615130054400
72544504336
oct660410300
9256311240
10113381568
1159001283
1231b7a400
131a64a5b1
14110b5b56
159e49813
hex6c210c0

113381568 has 84 divisors (see below), whose sum is σ = 344134440. Its totient is φ = 35567616.

The previous prime is 113381563. The next prime is 113381573. The reversal of 113381568 is 865183311.

113381568 is a `hidden beast` number, since 1 + 13 + 3 + 81 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (113381563) and next prime (113381573).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (113381563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4003 + ... + 15581.

Almost surely, 2113381568 is an apocalyptic number.

113381568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113381568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172067220).

113381568 is an abundant number, since it is smaller than the sum of its proper divisors (230752872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113381568 is a wasteful number, since it uses less digits than its factorization.

113381568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11614 (or 11601 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 113381568 is about 10648.0781364526. The cubic root of 113381568 is about 484.0023677684.

The spelling of 113381568 in words is "one hundred thirteen million, three hundred eighty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 11579 23158 34737 46316 69474 92632 104211 138948 185264 196843 208422 277896 370528 393686 416844 555792 590529 741056 787372 833688 1111584 1181058 1574744 1667376 1771587 2223168 2362116 3149488 3334752 3543174 4724232 6298976 6669504 7086348 9448464 12597952 14172696 18896928 28345392 37793856 56690784 113381568